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Finding the Fourth Proportional to 147,980.56, 204,213.96 and 80,912.56

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Solution

The fourth proportional to 147,980.56, 204,213.96 and 80,912.56 is: 111,659.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,980.56 : 204,213.96 = 80,912.56 : x
  2. Step 2: Convert to fraction form
    147,980.56/204,213.96 = 80,912.56/x
  3. Step 3: Cross multiply
    147,980.56x = 204,213.96 × 80,912.56
  4. Step 4: Simplify right side
    147,980.56x = 16,523,474,291.34
  5. Step 5: Solve for x
    x = 16,523,474,291.34/147,980.56
  6. Step 6: Final answer
    x = 111,659.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.